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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A characterization of closure operations that induce big Cohen-Macaulay modules
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by Geoffrey D. Dietz PDF
Proc. Amer. Math. Soc. 138 (2010), 3849-3862 Request permission

Abstract:

The intent of this paper is to present a set of axioms that are sufficient for a closure operation to generate a balanced big Cohen-Macaulay module $B$ over a complete local domain $R$. Conversely, we show that if such a $B$ exists over $R$, then there exists a closure operation that satisfies the given axioms.
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Additional Information
  • Geoffrey D. Dietz
  • Affiliation: Department of Mathematics, Gannon University, Erie, Pennsylvania 16541
  • MR Author ID: 701237
  • Email: gdietz@member.ams.org
  • Received by editor(s): October 28, 2009
  • Received by editor(s) in revised form: January 30, 2010
  • Published electronically: May 24, 2010
  • Communicated by: Bernd Ulrich
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 138 (2010), 3849-3862
  • MSC (2000): Primary 13C14; Secondary 13A35
  • DOI: https://doi.org/10.1090/S0002-9939-2010-10417-3
  • MathSciNet review: 2679608